   Chapter 13, Problem 62AP

Chapter
Section
Textbook Problem

The position of a 0.30-kg object attached to a spring is described byx = (0.25 m) cos (0.47πt)Find (a) the amplitude of the motion, (b) the spring constant, (c) the position of the object at t = 0.30 s, and (d) the object’s speed at t = 0.30 s.

(a)

To determine
The amplitude of the motion.

Explanation

Given info: The position of the object varies with time t as x=(0.25m)cos(0.4πt) .

Expression for the position of the object is,

x=(0.25m)cos(0.4πt) (I)

• x is the position.
• t is time taken

(b)

To determine
The spring constant of the spring.

(c)

To determine
The position of the object at t=0.30s .

(d)

To determine
The speed of the object at t=0.30s .

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